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Question
Factorize: `a^2 x^2 + (ax^2 + 1)x + a`
Solution
We Multiply x (ax2 +1) = ax3 + x
= a2 x2 + ax3 + x + a
Taking common ax2 in (a2 x2 + ax3 ) and 1 in ( x + a)
= ax2 (a + x) +1( x + a)
= ax2 (a + x) +1(a + x)
Taking (a + x ) common in both the terms
= (a + x)(ax2 +1)
∴ a2 x2 + (ax2 +1) x + a = (a + x)(ax2 +1)
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